Official meet results cannot be removed. Think of a baseball player who goes 0 for 4 with four strikeouts. They'd love to just erase their stats from that day, but its a record of their accomplishments.
Don't worry though. It’s ok if you have old times listed on your profile, this gives you the opportunity to show your progress! Just be sure to add your current results as you go along. Understand slower times cannot affect your Power Index or Recruit Ranking. This is also why we encourage you to not only add your best times, but all of the times in between- to show your progress.